TSTP Solution File: KRS079+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zFPcxEtpzu true

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:56:21 EDT 2023

% Result   : Unsatisfiable 0.19s 0.76s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   51 (   6 unt;  12 typ;   0 def)
%            Number of atoms       :   93 (  12 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  233 (  43   ~;  38   |;   8   &; 136   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :   57 (   0   ^;  54   !;   3   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cowlNothing_type,type,
    cowlNothing: $i > $o ).

thf(i2003_11_14_17_19_17492_type,type,
    i2003_11_14_17_19_17492: $i ).

thf(cUnsatisfiable_type,type,
    cUnsatisfiable: $i > $o ).

thf(rf2_type,type,
    rf2: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(sk__type,type,
    sk_: $i > $i ).

thf(rf1_type,type,
    rf1: $i > $i > $o ).

thf(cp2_type,type,
    cp2: $i > $o ).

thf(rr_type,type,
    rr: $i > $i > $o ).

thf(cowlThing_type,type,
    cowlThing: $i > $o ).

thf(cp1_type,type,
    cp1: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(axiom_2,axiom,
    ! [X: $i] :
      ( ( cUnsatisfiable @ X )
    <=> ( ? [Y: $i] :
            ( ( cp2 @ Y )
            & ( rf2 @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cp1 @ Y )
            & ( rf1 @ X @ Y ) )
        & ? [Y: $i] :
            ( ( cowlThing @ Y )
            & ( rr @ X @ Y ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_7,axiom,
    ! [X: $i,Y: $i] :
      ( ( rr @ X @ Y )
     => ( rf1 @ X @ Y ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf1 @ X0 @ X1 )
      | ~ ( rr @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_7]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf1 @ X0 @ ( sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl28]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( rf1 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_4,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
     => ! [Y0: $i,Y1: $i] :
          ( ( ( rf1 @ X @ Y0 )
            & ( rf1 @ X @ Y1 ) )
         => ( Y0 = Y1 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf1 @ X2 @ X0 )
      | ~ ( rf1 @ X2 @ X1 )
      | ~ ( cowlThing @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_4]) ).

thf(axiom_0,axiom,
    ! [X: $i] :
      ( ~ ( cowlNothing @ X )
      & ( cowlThing @ X ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf1 @ X2 @ X0 )
      | ~ ( rf1 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl13]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk__1 @ X0 ) )
      | ~ ( rf1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl161]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl162]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl168]) ).

thf(zip_derived_cl21_001,plain,
    ! [X0: $i] :
      ( ( rr @ X0 @ ( sk__2 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_8,axiom,
    ! [X: $i,Y: $i] :
      ( ( rr @ X @ Y )
     => ( rf2 @ X @ Y ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( rf2 @ X0 @ X1 )
      | ~ ( rr @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[axiom_8]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( rf2 @ X0 @ ( sk__2 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl29]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( rf2 @ X0 @ ( sk__1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl160]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ( rf2 @ X0 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl173]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( rf2 @ X0 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(axiom_5,axiom,
    ! [X: $i] :
      ( ( cowlThing @ X )
     => ! [Y0: $i,Y1: $i] :
          ( ( ( rf2 @ X @ Y0 )
            & ( rf2 @ X @ Y1 ) )
         => ( Y0 = Y1 ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf2 @ X2 @ X0 )
      | ~ ( rf2 @ X2 @ X1 )
      | ~ ( cowlThing @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i] : ( cowlThing @ X0 ),
    inference(cnf,[status(esa)],[axiom_0]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ~ ( rf2 @ X2 @ X0 )
      | ~ ( rf2 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl13]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( X1
        = ( sk_ @ X0 ) )
      | ~ ( rf2 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl181]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ~ ( cUnsatisfiable @ X0 )
      | ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl182]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i] :
      ( ( ( sk__1 @ X0 )
        = ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl190]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk__1 @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i] :
      ( ~ ( cUnsatisfiable @ X0 )
      | ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl20]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i] :
      ( ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl196]) ).

thf(axiom_3,axiom,
    ! [X: $i] :
      ( ( cp1 @ X )
     => ~ ( cp2 @ X ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ~ ( cp2 @ X0 )
      | ~ ( cp1 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( cp2 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_2]) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i] :
      ( ~ ( cp1 @ ( sk_ @ X0 ) )
      | ~ ( cUnsatisfiable @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl18]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ~ ( cUnsatisfiable @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl156]) ).

thf(axiom_6,axiom,
    cUnsatisfiable @ i2003_11_14_17_19_17492 ).

thf(zip_derived_cl27,plain,
    cUnsatisfiable @ i2003_11_14_17_19_17492,
    inference(cnf,[status(esa)],[axiom_6]) ).

thf(zip_derived_cl213,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl211,zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zFPcxEtpzu true
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Aug 28 02:17:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.76  % Solved by fo/fo6_bce.sh.
% 0.19/0.76  % BCE start: 30
% 0.19/0.76  % BCE eliminated: 2
% 0.19/0.76  % PE start: 28
% 0.19/0.76  logic: eq
% 0.19/0.76  % PE eliminated: 0
% 0.19/0.76  % done 43 iterations in 0.020s
% 0.19/0.76  % SZS status Unsatisfiable for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.76  % SZS output start Refutation
% See solution above
% 0.19/0.76  
% 0.19/0.76  
% 0.19/0.77  % Terminating...
% 1.66/0.83  % Runner terminated.
% 1.66/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------